Mathematica

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An animated explanation of Morse theory following Milnor:

Below we see the torus with the height function as the Morse function. On the left we see a plane indicating the level, in the middle the sublevelset and on the right the corresponing CW-complex. More on this can be found in Section 4.3.3 of my phd-thesis, see Research.

This image was made with the following Mathematica file .

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An animated explanation of Monodromy:

Below we see the evolution of a base as we walk around a singular fiber, more on this can be found in my Master's thesis, see Research.

This image was made with the following Mathematica file .